λ
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Atlas › Integer Profiles › Node 8,985,724

8,985,724

22 × 11 × 17 × 41 × 293
Abundant Even Composite

8,985,724 factors as 2^2 × 11 × 17 × 41 × 293. Its 48 positive divisors give a proper-divisor sum of 9,684,452, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 17 × 41 × 293
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,670,176
Proper Divisor Sum 9,684,452
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8985721 ← → #8985733

Radix Representation

Decimal 8985724
Binary 100010010001110001111100 (24 bits)
Octal 0o42216174
Hexadecimal 0x891C7C

Divisor Catalog (48)

1 2 4 11 17 22 34 41 44 68 82 164 187 293 374 451 586 697 748 902 1,172 1,394 1,804 2,788 3,223 4,981 6,446 7,667 9,962 12,013 12,892 15,334 19,924 24,026 30,668 48,052 54,791 109,582 132,143 204,221 219,164 264,286 408,442 528,572 816,884 2,246,431 4,492,862 8,985,724

Collatz Trajectory (194 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,985,724 4,492,862 2,246,431 6,739,294 3,369,647 10,108,942 5,054,471 15,163,414 7,581,707 22,745,122 11,372,561 34,117,684 17,058,842 8,529,421 25,588,264 12,794,132 6,397,066 3,198,533 9,595,600 4,797,800 2,398,900 1,199,450 599,725 1,799,176 899,588 449,794 224,897 674,692 337,346 168,673 506,020 253,010 126,505 379,516 189,758 94,879 284,638 142,319 426,958 213,479 640,438 320,219 960,658 480,329 1,440,988 720,494 360,247 1,080,742 540,371 1,621,114 810,557 2,431,672 1,215,836 607,918 303,959 911,878 455,939 1,367,818 683,909 2,051,728

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